Question

Nandini’s age is 4 times her brother’s age. If the sum of their ages is 10 years, find their ages.

Answer 1

Answer:

age of Nandini: 8 years

age of nandini's brother: 2 years

Step-by-step explanation:

Explanation:

• it is given that age of nandini is 4 time higher than her brother's age, and the sum of their age is 10 years.
• we would have to find out their ages.
• the concept of algebra would help us to find the solution to this question.

Step 1 of 2:

let say, the age of nandini is: $x$

and the age of her brother is: $y$

it is given that, $x=4y$

and the sum of their ages is $10$ years.

hence, $x+y=10$

Step 2 of 2:

in this step we would solve the equation we derived in previous steps.

$\;\;\;\;\;x+y=10\\\rightarrow 4y+y=10\\\rightarrow 5y=10\\\rightarrow y=2$

Hence, the age of nandinis brother is 2 years.

and the age of nandini is:

$\;\;\;\;x+2=10\\\rightarrow x=10-2\\\rightarrow x=8$

Hence, the age of nandini is 8 years.